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Finding the Fourth Proportional to 65,903.19, 90,947.66 and 36,095.19

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Solution

The fourth proportional to 65,903.19, 90,947.66 and 36,095.19 is: 49,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.19 : 90,947.66 = 36,095.19 : x
  2. Step 2: Convert to fraction form
    65,903.19/90,947.66 = 36,095.19/x
  3. Step 3: Cross multiply
    65,903.19x = 90,947.66 × 36,095.19
  4. Step 4: Simplify right side
    65,903.19x = 3,282,772,887.28
  5. Step 5: Solve for x
    x = 3,282,772,887.28/65,903.19
  6. Step 6: Final answer
    x = 49,812.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.